Pith Number

pith:VCIQQ53Z

pith:2011:VCIQQ53ZKLIZ5V7RNLFITKMTEF

not attested not anchored not stored refs pending

Dualities in persistent (co)homology

Dmitriy Morozov, Mikael Vejdemo-Johansson, Vin de Silva

arxiv:1107.5665 v1 · 2011-07-28 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCIQQ53ZKLIZ5V7RNLFITKMTEF}

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	2026-05-18T02:01:08.464791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89108777952d19ed7f16aca89a9932142c637d1c682d0e0d2cb8dfa92e1a539

Aliases

arxiv: 1107.5665 · arxiv_version: 1107.5665v1 · doi: 10.48550/arxiv.1107.5665 · pith_short_12: VCIQQ53ZKLIZ · pith_short_16: VCIQQ53ZKLIZ5V7R · pith_short_8: VCIQQ53Z

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/VCIQQ53ZKLIZ5V7RNLFITKMTEF \
  | 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: a89108777952d19ed7f16aca89a9932142c637d1c682d0e0d2cb8dfa92e1a539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f7e07be48894362f9fe7f5545ae68eb2023b8de163049b7b326c48c0696a0b",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-07-28T09:55:37Z",
    "title_canon_sha256": "3c5785edad7fee93bc8f3a683775b86ac66ce6c746e814e2df0507f70e91b47f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5665",
    "kind": "arxiv",
    "version": 1
  }
}