Pith Number

pith:YAM7ODMN

pith:2011:YAM7ODMNPYRIKPEFFOOTOLQPTU

not attested not anchored not stored refs pending

Periods of orbits for maps on graphs homotopic to a constant map

Adriana Johnson, Chris Bernhardt, Whitney Radil, Zach Gaslowitz

arxiv:1108.2899 v3 · 2011-08-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAM7ODMNPYRIKPEFFOOTOLQPTU}

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	2026-05-18T03:57:12.795928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c019f70d8d7e22853c852b9d372e0f9d263d20f15b333e45b1ccb09d6685bac8

Aliases

arxiv: 1108.2899 · arxiv_version: 1108.2899v3 · doi: 10.48550/arxiv.1108.2899 · pith_short_12: YAM7ODMNPYRI · pith_short_16: YAM7ODMNPYRIKPEF · pith_short_8: YAM7ODMN

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/YAM7ODMNPYRIKPEFFOOTOLQPTU \
  | 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: c019f70d8d7e22853c852b9d372e0f9d263d20f15b333e45b1ccb09d6685bac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38c384ff1e32239a7c05db7d7c8038fe653fb2da6fc6e074271a199e69ea9c12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-14T18:59:13Z",
    "title_canon_sha256": "70fb4c5abf74b31dff83e27243c47be83303eb6e142f49a130a4ab5a63ec2e7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2899",
    "kind": "arxiv",
    "version": 3
  }
}