Pith Number

pith:JAZR34W6

pith:2015:JAZR34W6IU5OV66QU3JUED4KZ6

not attested not anchored not stored refs pending

On Poincar\'e series of filtrations

A. Campillo, F. Delgado, S.M. Gusein-Zade

arxiv:1504.04849 v1 · 2015-04-19 · 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{JAZR34W6IU5OV66QU3JUED4KZ6}

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	2026-05-18T02:18:24.555503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48331df2de453aeafbd0a6d3420f8acfafa68c4a0faf52675a789f6dba1360d5

Aliases

arxiv: 1504.04849 · arxiv_version: 1504.04849v1 · doi: 10.48550/arxiv.1504.04849 · pith_short_12: JAZR34W6IU5O · pith_short_16: JAZR34W6IU5OV66Q · pith_short_8: JAZR34W6

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/JAZR34W6IU5OV66QU3JUED4KZ6 \
  | 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: 48331df2de453aeafbd0a6d3420f8acfafa68c4a0faf52675a789f6dba1360d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c25a7622b4be302f07238c05177fb85feeb54816f8019fa3ab539708abd3691b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-19T16:35:20Z",
    "title_canon_sha256": "bb541f43064c8b1ed82f6a28a1bbc6f8865c5847884f29e9a9de0163b984a036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04849",
    "kind": "arxiv",
    "version": 1
  }
}