Pith Number

pith:TX3E2OAE

pith:2016:TX3E2OAE3LLZVVXP4MRSIXSH7U

not attested not anchored not stored refs pending

K-theoretic Gromov--Witten invariants in genus 0 and integrable hierarchies

Todor MIlanov, Valentin Tonita

arxiv:1610.07723 v1 · 2016-10-25 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TX3E2OAE3LLZVVXP4MRSIXSH7U}

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	2026-05-18T01:01:21.395502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df64d3804dad79ad6efe323245e47fd15e0d9b0631d59a2bbc72874b9c92a12

Aliases

arxiv: 1610.07723 · arxiv_version: 1610.07723v1 · doi: 10.48550/arxiv.1610.07723 · pith_short_12: TX3E2OAE3LLZ · pith_short_16: TX3E2OAE3LLZVVXP · pith_short_8: TX3E2OAE

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/TX3E2OAE3LLZVVXP4MRSIXSH7U \
  | 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: 9df64d3804dad79ad6efe323245e47fd15e0d9b0631d59a2bbc72874b9c92a12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85f301aa14fd88e4dc95393b62b19dbc3ab7c43e05a1ffa3526600662a9c73f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-25T04:10:28Z",
    "title_canon_sha256": "dcd9ef77dad4c88a8bef2ac69e6ca92d9548e1febdfc4bf7e2d5e71fa2a39da3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07723",
    "kind": "arxiv",
    "version": 1
  }
}