Pith Number

pith:M7RMFTAA

pith:2014:M7RMFTAAQJVGJD55JTZUY74WAZ

not attested not anchored not stored refs pending

Higher analytic stacks and GAGA theorems

Mauro Porta, Tony Yue Yu

arxiv:1412.5166 v2 · 2014-12-16 · 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{M7RMFTAAQJVGJD55JTZUY74WAZ}

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	2026-05-18T01:10:18.511558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e2c2cc00826a648fbd4cf34c7f960664bb5fda2b0619e53526926484f67641

Aliases

arxiv: 1412.5166 · arxiv_version: 1412.5166v2 · doi: 10.48550/arxiv.1412.5166 · pith_short_12: M7RMFTAAQJVG · pith_short_16: M7RMFTAAQJVGJD55 · pith_short_8: M7RMFTAA

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/M7RMFTAAQJVGJD55JTZUY74WAZ \
  | 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: 67e2c2cc00826a648fbd4cf34c7f960664bb5fda2b0619e53526926484f67641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341f4ed33355da4009cb6f67b744adaa84c78c6679bcc7d72c6db7d21d2f39b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-16T20:55:44Z",
    "title_canon_sha256": "aee8060d148fda834d346dd143d7b793c8cf4b17c5be46f6dbadef90c69652c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5166",
    "kind": "arxiv",
    "version": 2
  }
}