Pith Number

pith:6PTPUNPZ

pith:2011:6PTPUNPZKSRBCKEE2Y67THDTYG

not attested not anchored not stored refs pending

Persistence for Circle Valued Maps

Dan Burghelea, Tamal K. Dey

arxiv:1104.5646 v5 · 2011-04-29 · math.AT · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PTPUNPZKSRBCKEE2Y67THDTYG}

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	2026-05-18T02:22:00.757406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e6fa35f954a2112884d63df99c73c197c2e05170d6e85985951ed84f14b733

Aliases

arxiv: 1104.5646 · arxiv_version: 1104.5646v5 · doi: 10.48550/arxiv.1104.5646 · pith_short_12: 6PTPUNPZKSRB · pith_short_16: 6PTPUNPZKSRBCKEE · pith_short_8: 6PTPUNPZ

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/6PTPUNPZKSRBCKEE2Y67THDTYG \
  | 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: f3e6fa35f954a2112884d63df99c73c197c2e05170d6e85985951ed84f14b733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9235668826ee6d067b95ca542730769419f3d37b566a4f7bb1852cd3ffea45d",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-04-29T15:02:12Z",
    "title_canon_sha256": "beafc70ebb82e7241d848a17e5f39db6088e8c121b13c0afe032368622b32d8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5646",
    "kind": "arxiv",
    "version": 5
  }
}