Pith Number

pith:E3K7HMAD

pith:2016:E3K7HMADQ7NWWW7CIS7XEWV66G

not attested not anchored not stored refs pending

Resolving Cosmological Singularities

Ali H. Chamseddine, Viatcheslav Mukhanov

arxiv:1612.05860 v1 · 2016-12-18 · gr-qc · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3K7HMADQ7NWWW7CIS7XEWV66G}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Affine ANEC selects the closed FRW branch for geodesically complete cosmology

Imperfect dark matter with higher derivatives

Receipt and verification

First computed	2026-05-18T00:46:18.670164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26d5f3b00387db6b5be244bf725abef1971c3ea43700f74e030bd1e3a195a1e7

Aliases

arxiv: 1612.05860 · arxiv_version: 1612.05860v1 · doi: 10.48550/arxiv.1612.05860 · pith_short_12: E3K7HMADQ7NW · pith_short_16: E3K7HMADQ7NWWW7C · pith_short_8: E3K7HMAD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/E3K7HMADQ7NWWW7CIS7XEWV66G \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 26d5f3b00387db6b5be244bf725abef1971c3ea43700f74e030bd1e3a195a1e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d663ccdac71bd04b34c598b70d7938832b8578dc836bcbf305995cd1417a80ec",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-12-18T06:54:12Z",
    "title_canon_sha256": "0e7cf98a1526bd488f6966868a80a18de0b523ba482b2a0f5ffff5dd14b4e4b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05860",
    "kind": "arxiv",
    "version": 1
  }
}