Pith Number

pith:BRCXFHGO

pith:1996:BRCXFHGOCNFDF6FAWK22MEUTH7

not attested not anchored not stored refs pending

Homeomorphisms of 3-manifolds and the realization of Nielsen Number

Boju Jiang, Shicheng Wang, Ying-Qing Wu

arxiv:math/9610220 v1 · 1996-10-31 · 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{BRCXFHGOCNFDF6FAWK22MEUTH7}

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	2026-05-18T01:05:46.959296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c45729cce134a32f8a0b2b5a612933fe33b4600e52f48c32a908c4cce05116d

Aliases

arxiv: math/9610220 · arxiv_version: math/9610220v1 · doi: 10.48550/arxiv.math/9610220 · pith_short_12: BRCXFHGOCNFD · pith_short_16: BRCXFHGOCNFDF6FA · pith_short_8: BRCXFHGO

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/BRCXFHGOCNFDF6FAWK22MEUTH7 \
  | 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: 0c45729cce134a32f8a0b2b5a612933fe33b4600e52f48c32a908c4cce05116d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19e27be418829a0843cd098488bfcfc568358e787fd3174a9367c4bc1b7627bc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1996-10-31T00:00:00Z",
    "title_canon_sha256": "bae6434c1aa2fb3baa31b18e24ab07a19939dc034b64c07116586150cf1347e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9610220",
    "kind": "arxiv",
    "version": 1
  }
}