Pith Number

pith:I3C4J6WI

pith:2013:I3C4J6WIOO3L2J3G7W6DXYFYAK

not attested not anchored not stored refs pending

The limitations of the Poincar{\'e} inequality

Adam Sikora, Derek W. Robinson

arxiv:1305.6998 v1 · 2013-05-30 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3C4J6WIOO3L2J3G7W6DXYFYAK}

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	2026-05-18T02:32:00.374689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c5c4fac873b6bd2766fdbc3be0b802a21c8b7dc50bf113ce2d9079d3609732

Aliases

arxiv: 1305.6998 · arxiv_version: 1305.6998v1 · doi: 10.48550/arxiv.1305.6998 · pith_short_12: I3C4J6WIOO3L · pith_short_16: I3C4J6WIOO3L2J3G · pith_short_8: I3C4J6WI

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/I3C4J6WIOO3L2J3G7W6DXYFYAK \
  | 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: 46c5c4fac873b6bd2766fdbc3be0b802a21c8b7dc50bf113ce2d9079d3609732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de84a1a08b7f852ca4a9134a9e48745e7d2b0d27224c67051ffb07a9d5daf832",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-30T04:06:43Z",
    "title_canon_sha256": "e1cb84971ef0ba7938c1b4ab4978ef28c985962d3c640d3dc668e813581eb7cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6998",
    "kind": "arxiv",
    "version": 1
  }
}