Pith Number

pith:7HK5F4RE

pith:2012:7HK5F4REREYTDZU52VE4VO4XHD

not attested not anchored not stored refs pending

Extension of functors for algebras of formal deformation

Ana Rita Martins, David Raimundo, Teresa Monteiro Fernandes

arxiv:1201.0536 v4 · 2012-01-02 · 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{7HK5F4REREYTDZU52VE4VO4XHD}

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	2026-05-18T03:36:56.706360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d5d2f224893131e69dd549cabb9738ec736e3d3b29eea1fa0b3fd72ce4a3d4

Aliases

arxiv: 1201.0536 · arxiv_version: 1201.0536v4 · doi: 10.48550/arxiv.1201.0536 · pith_short_12: 7HK5F4REREYT · pith_short_16: 7HK5F4REREYTDZU5 · pith_short_8: 7HK5F4RE

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/7HK5F4REREYTDZU52VE4VO4XHD \
  | 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: f9d5d2f224893131e69dd549cabb9738ec736e3d3b29eea1fa0b3fd72ce4a3d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a866907cf4e15c9f41eac2854c53fc2884b18f93e2d411b057f3bcd9bb72aa6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-02T21:21:51Z",
    "title_canon_sha256": "daed15eefb84af02133dcebda56343b4b29605ff6a5fdf239328fdac684568a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0536",
    "kind": "arxiv",
    "version": 4
  }
}