Pith Number

pith:JS4OLCCB

pith:2013:JS4OLCCB4GXVKHQ7UDYPFFCQE5

not attested not anchored not stored refs pending

Large scale absolute extensors

Atish Mitra, Jerzy Dydak

arxiv:1304.5987 v2 · 2013-04-22 · math.MG · math.GN · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JS4OLCCB4GXVKHQ7UDYPFFCQE5}

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	2026-05-18T01:22:49.116451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cb8e58841e1af551e1fa0f0f29450274fca6bf3b8ba16d397411ebef7fd8192

Aliases

arxiv: 1304.5987 · arxiv_version: 1304.5987v2 · doi: 10.48550/arxiv.1304.5987 · pith_short_12: JS4OLCCB4GXV · pith_short_16: JS4OLCCB4GXVKHQ7 · pith_short_8: JS4OLCCB

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/JS4OLCCB4GXVKHQ7UDYPFFCQE5 \
  | 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: 4cb8e58841e1af551e1fa0f0f29450274fca6bf3b8ba16d397411ebef7fd8192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee4549dda3233c75f7fe021a93082147ef723a795c667015712972de9b916236",
    "cross_cats_sorted": [
      "math.GN",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-04-22T15:37:20Z",
    "title_canon_sha256": "5012b7491e095c809e4d39b5500d24d1d601d719668ba522ae976b24ae9ee842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5987",
    "kind": "arxiv",
    "version": 2
  }
}