Pith Number

pith:YPBZ2MTC

pith:2016:YPBZ2MTCVMBL2Y5NS3YDZJGEBM

not attested not anchored not stored refs pending

Orbits of non-simple closed curves on a surface

Jenya Sapir

arxiv:1602.09093 v3 · 2016-02-29 · 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{YPBZ2MTCVMBL2Y5NS3YDZJGEBM}

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	2026-05-18T01:10:55.408426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c39d3262ab02bd63ad96f03ca4c40b076640337a7ab82c4301a2ae7d9cb81f

Aliases

arxiv: 1602.09093 · arxiv_version: 1602.09093v3 · doi: 10.48550/arxiv.1602.09093 · pith_short_12: YPBZ2MTCVMBL · pith_short_16: YPBZ2MTCVMBL2Y5N · pith_short_8: YPBZ2MTC

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/YPBZ2MTCVMBL2Y5NS3YDZJGEBM \
  | 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: c3c39d3262ab02bd63ad96f03ca4c40b076640337a7ab82c4301a2ae7d9cb81f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b52e32fe3f214e914630b549086792fbb3f9ce3ce967da74111d24510da9d65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-29T18:49:23Z",
    "title_canon_sha256": "9afffe9f84ca80803bcb5de60b48f4a1801f1d58c8b04987ec11ea0e9ad1f619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.09093",
    "kind": "arxiv",
    "version": 3
  }
}