Pith Number

pith:GXFK7VNW

pith:2015:GXFK7VNWI5Q4TN2QJPETMHMRHV

not attested not anchored not stored refs pending

Asymptotically hyperbolic connections

Carlos Scarinci, Joel Fine, Kirill Krasnov, Yannick Herfray

arxiv:1512.07109 v1 · 2015-12-22 · gr-qc · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXFK7VNWI5Q4TN2QJPETMHMRHV}

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	2026-05-18T00:48:05.763667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35caafd5b64761c9b7504bc9361d913d5e2833ffb4912e77ee6b39d1b3fa4b23

Aliases

arxiv: 1512.07109 · arxiv_version: 1512.07109v1 · doi: 10.48550/arxiv.1512.07109 · pith_short_12: GXFK7VNWI5Q4 · pith_short_16: GXFK7VNWI5Q4TN2Q · pith_short_8: GXFK7VNW

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/GXFK7VNWI5Q4TN2QJPETMHMRHV \
  | 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: 35caafd5b64761c9b7504bc9361d913d5e2833ffb4912e77ee6b39d1b3fa4b23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ace2d38b50f2fe1adcca6b9913de64265dffd8e5544d21942f45a56fb60ee370",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-22T14:57:49Z",
    "title_canon_sha256": "669ce7b1f33354e49a0bd7d01ecf2704e0644c3ad44d5e4dc2076c64014951b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07109",
    "kind": "arxiv",
    "version": 1
  }
}