Pith Number

pith:U3SHTLQZ

pith:2014:U3SHTLQZVGIXILVO6LRD6OR32A

not attested not anchored not stored refs pending

Orbits of smooth functions on 2-torus and their homotopy types

Bohdan Feshchenko, Sergiy Maksymenko

arxiv:1409.0502 v1 · 2014-09-01 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3SHTLQZVGIXILVO6LRD6OR32A}

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	2026-05-18T00:32:36.697980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6e479ae19a991742eaef2e23f3a3bd00cb12e18f46a4463c3baaf8ff5dea80f

Aliases

arxiv: 1409.0502 · arxiv_version: 1409.0502v1 · doi: 10.48550/arxiv.1409.0502 · pith_short_12: U3SHTLQZVGIX · pith_short_16: U3SHTLQZVGIXILVO · pith_short_8: U3SHTLQZ

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/U3SHTLQZVGIXILVO6LRD6OR32A \
  | 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: a6e479ae19a991742eaef2e23f3a3bd00cb12e18f46a4463c3baaf8ff5dea80f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a974ab36ccce27d895ddbf4dca140ce9c060abc55cfc790e16152eedb44c022c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-01T18:45:03Z",
    "title_canon_sha256": "0a97b2f227fcc7c0d9eda1094d98e5bd0750add7da83415fd83062d7149c4aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0502",
    "kind": "arxiv",
    "version": 1
  }
}