Pith Number

pith:E2RPDEFG

pith:2014:E2RPDEFGIIFHNIY465ZYX42BWN

not attested not anchored not stored refs pending

Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology

Matilde Marcolli, Yuri I. Manin

arxiv:1402.2158 v3 · 2014-02-10 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2RPDEFGIIFHNIY465ZYX42BWN}

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.

Receipt and verification

First computed	2026-05-18T02:48:02.211223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a2f190a6420a76a31cf7738bf341b359f8ce8fb20faea488f9cdc39dac6ea4

Aliases

arxiv: 1402.2158 · arxiv_version: 1402.2158v3 · doi: 10.48550/arxiv.1402.2158 · pith_short_12: E2RPDEFGIIFH · pith_short_16: E2RPDEFGIIFHNIY4 · pith_short_8: E2RPDEFG

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/E2RPDEFGIIFHNIY465ZYX42BWN \
  | 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: 26a2f190a6420a76a31cf7738bf341b359f8ce8fb20faea488f9cdc39dac6ea4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db779eafcfeaee4a9f620685cf5eebfca88e78056a944f578e52798e9846ac0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-02-10T14:26:45Z",
    "title_canon_sha256": "5105f16838c26ba11d642f4c21a8bce058b92f304c4bfa2652705835ae74b001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2158",
    "kind": "arxiv",
    "version": 3
  }
}