Pith Number

pith:3MAHHCXS

pith:2014:3MAHHCXSXYJ2AHQBFDVRDKC55C

not attested not anchored not stored refs pending

Absolute vs. Relative Gromov-Witten Invariants

Aleksey Zinger, Mohammad F. Tehrani

arxiv:1405.2045 v2 · 2014-05-08 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MAHHCXSXYJ2AHQBFDVRDKC55C}

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	2026-05-18T02:52:05.729650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db00738af2be13a01e0128eb11a85de8b7c08553b4d463f2a4f0fcc950a36c41

Aliases

arxiv: 1405.2045 · arxiv_version: 1405.2045v2 · doi: 10.48550/arxiv.1405.2045 · pith_short_12: 3MAHHCXSXYJ2 · pith_short_16: 3MAHHCXSXYJ2AHQB · pith_short_8: 3MAHHCXS

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/3MAHHCXSXYJ2AHQBFDVRDKC55C \
  | 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: db00738af2be13a01e0128eb11a85de8b7c08553b4d463f2a4f0fcc950a36c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f34cd68000977336e86d2f53f083c69e63e976b18fe2080000ebfead0c7c88d0",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-05-08T18:59:29Z",
    "title_canon_sha256": "33f7c03c91dc68554864e4f5710fca281b0817cee831b58856bc5ff64a73a83b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2045",
    "kind": "arxiv",
    "version": 2
  }
}