Pith Number

pith:RJJVAADE

pith:2011:RJJVAADEWFHDP6F7YVDO6IPKF7

not attested not anchored not stored refs pending

Alexander Duality for Functions: the Persistent Behavior of Land and Water and Shore

Herbert Edelsbrunner, Michael Kerber

arxiv:1109.5052 v1 · 2011-09-23 · math.AT · cs.CG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJJVAADEWFHDP6F7YVDO6IPKF7}

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	2026-05-18T04:12:21.897264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a53500064b14e37f8bfc546ef21ea2fc28e682b799deb502a595dfcb7a264f6

Aliases

arxiv: 1109.5052 · arxiv_version: 1109.5052v1 · doi: 10.48550/arxiv.1109.5052 · pith_short_12: RJJVAADEWFHD · pith_short_16: RJJVAADEWFHDP6F7 · pith_short_8: RJJVAADE

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/RJJVAADEWFHDP6F7YVDO6IPKF7 \
  | 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: 8a53500064b14e37f8bfc546ef21ea2fc28e682b799deb502a595dfcb7a264f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d9e752a768657857d3817a01ba26ca1c5f70ba49418ebaac8bc7d7030de1d9f",
    "cross_cats_sorted": [
      "cs.CG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-23T12:21:05Z",
    "title_canon_sha256": "59b262f6727e82df1a47f1de50a95a3fe16a38adedb8c35af85119339333c4c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5052",
    "kind": "arxiv",
    "version": 1
  }
}