Pith Number

pith:PBBTJOQY

pith:2017:PBBTJOQYFLR54GCA5CSG3KQYWK

not attested not anchored not stored refs pending

Persistence barcodes and Laplace eigenfunctions on surfaces

Iosif Polterovich, Leonid Polterovich, Vuka\v{s}in Stojisavljevi\'c

arxiv:1711.07577 v3 · 2017-11-20 · math.SP · math.AP · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBBTJOQYFLR54GCA5CSG3KQYWK}

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	2026-05-17T23:54:41.711149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

784334ba182ae3de1840e8a46daa18b2b6f40819845e603341b3960abbe2d111

Aliases

arxiv: 1711.07577 · arxiv_version: 1711.07577v3 · doi: 10.48550/arxiv.1711.07577 · pith_short_12: PBBTJOQYFLR5 · pith_short_16: PBBTJOQYFLR54GCA · pith_short_8: PBBTJOQY

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/PBBTJOQYFLR54GCA5CSG3KQYWK \
  | 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: 784334ba182ae3de1840e8a46daa18b2b6f40819845e603341b3960abbe2d111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a12dda095fd0b99b866e47fc067be0ea213d709728e2778409f854f69e05732",
    "cross_cats_sorted": [
      "math.AP",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-11-20T23:15:51Z",
    "title_canon_sha256": "c87423bc72bdf9b35563c4b3fd2b63ff4498e2455d27ccd21ae635a058044b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07577",
    "kind": "arxiv",
    "version": 3
  }
}