Pith Number

pith:GAJMEGWW

pith:2010:GAJMEGWWPHDDKE3IC74IDYX3JO

not attested not anchored not stored refs pending

On the Singular Structure of Graph Hypersurfaces

Eric Patterson

arxiv:1004.5166 v2 · 2010-04-29 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAJMEGWWPHDDKE3IC74IDYX3JO}

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	2026-05-18T04:27:15.030036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3012c21ad679c635136817f881e2fb4ba05cb9219f7eaabca4ad68d7d493a6fe

Aliases

arxiv: 1004.5166 · arxiv_version: 1004.5166v2 · doi: 10.48550/arxiv.1004.5166 · pith_short_12: GAJMEGWWPHDD · pith_short_16: GAJMEGWWPHDDKE3I · pith_short_8: GAJMEGWW

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/GAJMEGWWPHDDKE3IC74IDYX3JO \
  | 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: 3012c21ad679c635136817f881e2fb4ba05cb9219f7eaabca4ad68d7d493a6fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44de40e4d032459e0622c2022951da0feae8ff21d7773c2143a40e4651b6cf6b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-29T00:13:26Z",
    "title_canon_sha256": "4c5d02b2033c48c99217ab3eac37157275d461cf0fac3764dc3cd17136987dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5166",
    "kind": "arxiv",
    "version": 2
  }
}