Pith Number

pith:26PFRDJ7

pith:2016:26PFRDJ77MGIZVMBCCXAGKVRSD

not attested not anchored not stored refs pending

Variations on Gromov's open-dense orbit theorem

Charles Frances

arxiv:1605.05755 v1 · 2016-05-18 · 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{26PFRDJ77MGIZVMBCCXAGKVRSD}

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	2026-05-18T01:14:28.500146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d79e588d3ffb0c8cd58110ae032ab190f8708b5845acacda687b345c877cc204

Aliases

arxiv: 1605.05755 · arxiv_version: 1605.05755v1 · doi: 10.48550/arxiv.1605.05755 · pith_short_12: 26PFRDJ77MGI · pith_short_16: 26PFRDJ77MGIZVMB · pith_short_8: 26PFRDJ7

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/26PFRDJ77MGIZVMBCCXAGKVRSD \
  | 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: d79e588d3ffb0c8cd58110ae032ab190f8708b5845acacda687b345c877cc204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f9c80074b05d83dc95d14e0843e42257d99a7db8402f3a7809e86c1d5d2a985",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-18T20:38:54Z",
    "title_canon_sha256": "575547acc3ac3bc039ca1436040e1540f52986bc21f0b1012af4f584d4b0fb8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05755",
    "kind": "arxiv",
    "version": 1
  }
}