Pith Number

pith:BFTT42UG

pith:1999:BFTT42UGPU2W4MXF3377ZQM3NA

not attested not anchored not stored refs pending

Manifolds at and beyond the limit of metrisability

David Gauld

arxiv:math/9911249 v1 · 1999-11-17 · 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{BFTT42UGPU2W4MXF3377ZQM3NA}

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	2026-05-18T01:05:32.448738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09673e6a867d356e32e5defffcc19b68041836cc93d1338fda173d78b1b0f37c

Aliases

arxiv: math/9911249 · arxiv_version: math/9911249v1 · doi: 10.48550/arxiv.math/9911249 · pith_short_12: BFTT42UGPU2W · pith_short_16: BFTT42UGPU2W4MXF · pith_short_8: BFTT42UG

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/BFTT42UGPU2W4MXF3377ZQM3NA \
  | 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: 09673e6a867d356e32e5defffcc19b68041836cc93d1338fda173d78b1b0f37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1047a35f735f9d90a556455e0c1be7b08034a42ed8fc3b14ffaae8368db3779b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-11-17T00:00:00Z",
    "title_canon_sha256": "5b3bddd599a14d043977e8f707d9562bcacde340d32024e815ea549b68ab3818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911249",
    "kind": "arxiv",
    "version": 1
  }
}