Pith Number

pith:PIFECP3R

pith:2018:PIFECP3REOAO772TB3EGJT72E2

not attested not anchored not stored refs pending

A condition that implies full homotopical complexity of orbits

Bruno de Paula Jacoia, Salvador Addas-Zanata

arxiv:1804.04505 v3 · 2018-04-11 · 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{PIFECP3REOAO772TB3EGJT72E2}

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	2026-05-18T00:11:28.846644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a0a413f712380efff530ec864cffa26b7daaab41f28d3ff20a0815765e21aaa

Aliases

arxiv: 1804.04505 · arxiv_version: 1804.04505v3 · doi: 10.48550/arxiv.1804.04505 · pith_short_12: PIFECP3REOAO · pith_short_16: PIFECP3REOAO772T · pith_short_8: PIFECP3R

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/PIFECP3REOAO772TB3EGJT72E2 \
  | 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: 7a0a413f712380efff530ec864cffa26b7daaab41f28d3ff20a0815765e21aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da377a646d7f37dbcbd92f1ce9ae2c0947113446c11eedc3774e64d2cf6fead9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-11T04:13:38Z",
    "title_canon_sha256": "3ce5aafc9eec514464f4bee4664e824a198e3c51a127768d7c1d93bb0f86fb2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04505",
    "kind": "arxiv",
    "version": 3
  }
}