Pith Number

pith:UR7ZOW7T

pith:2000:UR7ZOW7TMWO5RTHGAN3ENNFI23

not attested not anchored not stored refs pending

Limitations on the smooth confinement of an unstretchable manifold

E. M. Kramer, R. P. Geroch, S. C. Venkataramani, T. A. Witten

arxiv:math-ph/0007003 v1 · 2000-07-03 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UR7ZOW7TMWO5RTHGAN3ENNFI23}

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	2026-05-18T02:48:34.128945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a47f975bf3659dd8cce6037646b4a8d6c012d374cafeb07b52d9033397aabf37

Aliases

arxiv: math-ph/0007003 · arxiv_version: math-ph/0007003v1 · doi: 10.48550/arxiv.math-ph/0007003 · pith_short_12: UR7ZOW7TMWO5 · pith_short_16: UR7ZOW7TMWO5RTHG · pith_short_8: UR7ZOW7T

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/UR7ZOW7TMWO5RTHGAN3ENNFI23 \
  | 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: a47f975bf3659dd8cce6037646b4a8d6c012d374cafeb07b52d9033397aabf37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2de699b8b4ccf08e6f611513e60436265173381f869e110677c8229616e8359e",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-07-03T17:01:22Z",
    "title_canon_sha256": "3bf98d2ebc7c9e9a8703895594fc1fdb89efc033abb1d644b28e04081af78ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0007003",
    "kind": "arxiv",
    "version": 1
  }
}