Pith Number

pith:BC2D5QSW

pith:2012:BC2D5QSW2XXV4PYCMUW5R624C2

not attested not anchored not stored refs pending

Poincar\'e series for filtrations defined by discrete valuations with arbitrary center

Ann Lemahieu, Antonio Campillo

arxiv:1207.7057 v1 · 2012-07-30 · 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{BC2D5QSW2XXV4PYCMUW5R624C2}

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	2026-05-18T03:49:47.860761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08b43ec256d5ef5e3f02652dd8fb5c16ac545fe05a519f0b80d94d6c55ea2af0

Aliases

arxiv: 1207.7057 · arxiv_version: 1207.7057v1 · doi: 10.48550/arxiv.1207.7057 · pith_short_12: BC2D5QSW2XXV · pith_short_16: BC2D5QSW2XXV4PYC · pith_short_8: BC2D5QSW

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/BC2D5QSW2XXV4PYCMUW5R624C2 \
  | 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: 08b43ec256d5ef5e3f02652dd8fb5c16ac545fe05a519f0b80d94d6c55ea2af0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea91bedd8335f564be31a69ccca3a92bcb2b44dfe93e85ef6f5530289b8c25cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-30T19:43:21Z",
    "title_canon_sha256": "bc6bfb8bb8e5263b72c2dfaa7e4db89ab8ad033df11db2f7dd78f050a85580b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7057",
    "kind": "arxiv",
    "version": 1
  }
}