Pith Number

pith:3EBGMWLW

pith:2012:3EBGMWLWB7ZL5UL5ZA3O6PDF7A

not attested not anchored not stored refs pending

There is no degree map for 0-cycles on Artin stacks

Anton Geraschenko, Dan Edidin, Matthew Satriano

arxiv:1208.3239 v1 · 2012-08-15 · 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{3EBGMWLWB7ZL5UL5ZA3O6PDF7A}

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	2026-05-18T02:45:48.803183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9026659760ff2bed17dc836ef3c65f821eff346523fb6de1ae3eefa485620cb

Aliases

arxiv: 1208.3239 · arxiv_version: 1208.3239v1 · doi: 10.48550/arxiv.1208.3239 · pith_short_12: 3EBGMWLWB7ZL · pith_short_16: 3EBGMWLWB7ZL5UL5 · pith_short_8: 3EBGMWLW

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/3EBGMWLWB7ZL5UL5ZA3O6PDF7A \
  | 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: d9026659760ff2bed17dc836ef3c65f821eff346523fb6de1ae3eefa485620cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fac4e001ca987290564e8f184ffd45d823c7c41140965670fc78a946e8028cbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-15T22:25:52Z",
    "title_canon_sha256": "5dcd2a1c582965c2f8c424b30f4cb7bfd9003ebba65ca4bf09953b33f1e4593b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3239",
    "kind": "arxiv",
    "version": 1
  }
}