Pith Number

pith:ZKEK3UGC

pith:2017:ZKEK3UGCBVCQJMM34FQYHDM523

not attested not anchored not stored refs pending

Persistence modules with operators in Morse and Floer theory

Egor Shelukhin, Leonid Polterovich, Vuka\v{s}in Stojisavljevi\'c

arxiv:1703.01392 v1 · 2017-03-04 · math.SG · math.AT · 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{ZKEK3UGCBVCQJMM34FQYHDM523}

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	2026-05-18T00:49:30.900856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca88add0c20d4504b19be161838d9dd6da42d95c9790501e192f23fbb0420b9e

Aliases

arxiv: 1703.01392 · arxiv_version: 1703.01392v1 · doi: 10.48550/arxiv.1703.01392 · pith_short_12: ZKEK3UGCBVCQ · pith_short_16: ZKEK3UGCBVCQJMM3 · pith_short_8: ZKEK3UGC

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/ZKEK3UGCBVCQJMM34FQYHDM523 \
  | 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: ca88add0c20d4504b19be161838d9dd6da42d95c9790501e192f23fbb0420b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db5f604b231f9be5d73da7ca353873b60f2b036091c0ebf9bf6475c23fb51381",
    "cross_cats_sorted": [
      "math.AT",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-03-04T03:44:35Z",
    "title_canon_sha256": "39112c5e1a2ebbb5c18a7dafed0bdd77e646bdb39c1a07f7bdf0345af1ed56ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01392",
    "kind": "arxiv",
    "version": 1
  }
}