Pith Number

pith:5JUQLJBD

pith:2005:5JUQLJBDCPWKBB6FNXZHBFWXCQ

not attested not anchored not stored refs pending

On The Global Quotient Structure of The Space of Twisted Stable Maps to a Quotient Stack

Dan Abramovich, Hsian-Hua Tseng, Martin Olsson, Tom Graber

arxiv:math/0502253 v2 · 2005-02-12 · 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{5JUQLJBDCPWKBB6FNXZHBFWXCQ}

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	2026-05-18T04:08:35.769402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6905a42313eca087c56df27096d7141bd5629a44d87b0bb080daa30374949c

Aliases

arxiv: math/0502253 · arxiv_version: math/0502253v2 · doi: 10.48550/arxiv.math/0502253 · pith_short_12: 5JUQLJBDCPWK · pith_short_16: 5JUQLJBDCPWKBB6F · pith_short_8: 5JUQLJBD

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/5JUQLJBDCPWKBB6FNXZHBFWXCQ \
  | 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: ea6905a42313eca087c56df27096d7141bd5629a44d87b0bb080daa30374949c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0a49a23e6795d5c02ecf42142b4d1b22e132882519bd5bb807cdf453f6e4810",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-02-12T07:12:12Z",
    "title_canon_sha256": "3709dfb69bf232a0c775c789dd9ab6f42f9744dcea39e6d44555bb641246be53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502253",
    "kind": "arxiv",
    "version": 2
  }
}