Pith Number

pith:FGHVS6Z7

pith:2013:FGHVS6Z7XHLBHRBCDEID7KIRWB

not attested not anchored not stored refs pending

Extensions of maps to M(Z_m,1)

Jerzy Dydak, Michael Levin

arxiv:1310.1711 v1 · 2013-10-07 · math.GT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGHVS6Z7XHLBHRBCDEID7KIRWB}

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	2026-05-18T03:11:10.899647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298f597b3fb9d613c42219103fa911b05f49a44fcdef3f528341e95dfadbbd7d

Aliases

arxiv: 1310.1711 · arxiv_version: 1310.1711v1 · doi: 10.48550/arxiv.1310.1711 · pith_short_12: FGHVS6Z7XHLB · pith_short_16: FGHVS6Z7XHLBHRBC · pith_short_8: FGHVS6Z7

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/FGHVS6Z7XHLBHRBCDEID7KIRWB \
  | 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: 298f597b3fb9d613c42219103fa911b05f49a44fcdef3f528341e95dfadbbd7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f690987e0281ccb76220a6761a886226d26ad0b037c0850f42f9f941fd72f3be",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-07T09:20:45Z",
    "title_canon_sha256": "4a2f0c68970b226c39520947639ae2006228dde85e0e038a696d2feec945c245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1711",
    "kind": "arxiv",
    "version": 1
  }
}