Pith Number

pith:YJXR3QTF

pith:1996:YJXR3QTFLL4LEWWF3DZ63DGXHU

not attested not anchored not stored refs pending

Contractible open 3-manifolds with free covering translation groups

Robert Myers

arxiv:math/9612214 v1 · 1996-12-06 · 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{YJXR3QTFLL4LEWWF3DZ63DGXHU}

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	2026-05-18T01:05:37.368358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c26f1dc2655af8b25ac5d8f3ed8cd73d22d984b2e654db1e17e856135ef49140

Aliases

arxiv: math/9612214 · arxiv_version: math/9612214v1 · doi: 10.48550/arxiv.math/9612214 · pith_short_12: YJXR3QTFLL4L · pith_short_16: YJXR3QTFLL4LEWWF · pith_short_8: YJXR3QTF

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/YJXR3QTFLL4LEWWF3DZ63DGXHU \
  | 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: c26f1dc2655af8b25ac5d8f3ed8cd73d22d984b2e654db1e17e856135ef49140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbdecad78d50f734fbb6577ce5772e068e1858d789e9f6a996840452d8d9b1f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1996-12-06T00:00:00Z",
    "title_canon_sha256": "28be78da0134461fc88eaf16f7209540d343fc4759a432da9be0e8aaf1ee5564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9612214",
    "kind": "arxiv",
    "version": 1
  }
}