Pith Number

pith:PTJZFAKU

pith:2012:PTJZFAKULFEBKAJOMRKRGNKDXS

not attested not anchored not stored refs pending

Gromov-Witten theory of tame Deligne-Mumford stacks in mixed characteristic

Flavia Poma

arxiv:1210.2269 v2 · 2012-10-08 · 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{PTJZFAKULFEBKAJOMRKRGNKDXS}

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	2026-05-18T03:34:25.202513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd3928154594815012e6455133543bc85d5e44e5598a8ca350ca558c2c8d35a

Aliases

arxiv: 1210.2269 · arxiv_version: 1210.2269v2 · doi: 10.48550/arxiv.1210.2269 · pith_short_12: PTJZFAKULFEB · pith_short_16: PTJZFAKULFEBKAJO · pith_short_8: PTJZFAKU

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/PTJZFAKULFEBKAJOMRKRGNKDXS \
  | 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: 7cd3928154594815012e6455133543bc85d5e44e5598a8ca350ca558c2c8d35a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b76cb953ea6777d74bea287044df307f327ce6495d454f3dd818c4ea9751b0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-08T13:17:21Z",
    "title_canon_sha256": "84cd8dab69e8e35f6f9c526a689c62befb3580cc271a856608ac2200eb85441d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2269",
    "kind": "arxiv",
    "version": 2
  }
}