Pith Number

pith:BWNJHKYQ

pith:2011:BWNJHKYQ7EAFSHWVJPZVCVSQPN

not attested not anchored not stored refs pending

Contractible polyhedra in products of trees and absolute retracts in products of dendrites

Justyna Zajac, Sergey A. Melikhov

arxiv:1102.0696 v7 · 2011-02-03 · math.GT · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWNJHKYQ7EAFSHWVJPZVCVSQPN}

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	2026-05-18T00:35:53.766160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d9a93ab10f900591ed54bf35156507b519c2139a984b27d86786287cbe8651a

Aliases

arxiv: 1102.0696 · arxiv_version: 1102.0696v7 · doi: 10.48550/arxiv.1102.0696 · pith_short_12: BWNJHKYQ7EAF · pith_short_16: BWNJHKYQ7EAFSHWV · pith_short_8: BWNJHKYQ

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/BWNJHKYQ7EAFSHWVJPZVCVSQPN \
  | 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: 0d9a93ab10f900591ed54bf35156507b519c2139a984b27d86786287cbe8651a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2077e53e4d44d45745b783045b7588555c3b9d0cf35ccace09da66f72794555",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-03T14:37:36Z",
    "title_canon_sha256": "b87f2fee51b67e200a917f17e8d1e773675d3411963870f1b7122bc732ff340b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0696",
    "kind": "arxiv",
    "version": 7
  }
}