Pith Number

pith:LFD77D3X

pith:2015:LFD77D3XLEFNEGU6A7GOS6DTNL

not attested not anchored not stored refs pending

Contact spectral invariants and persistence

Maia Fraser

arxiv:1502.05979 v1 · 2015-02-20 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFD77D3XLEFNEGU6A7GOS6DTNL}

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	2026-05-18T02:26:39.861394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5947ff8f77590ad21a9e07cce978736ac61d2f46939b0c835032d2794aed5b8e

Aliases

arxiv: 1502.05979 · arxiv_version: 1502.05979v1 · doi: 10.48550/arxiv.1502.05979 · pith_short_12: LFD77D3XLEFN · pith_short_16: LFD77D3XLEFNEGU6 · pith_short_8: LFD77D3X

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/LFD77D3XLEFNEGU6A7GOS6DTNL \
  | 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: 5947ff8f77590ad21a9e07cce978736ac61d2f46939b0c835032d2794aed5b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb7202c8f62fe848c0c2ad28199e6b046f344e7d6c7fa816cc6e328b882040ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-02-20T19:45:11Z",
    "title_canon_sha256": "7537f7b13f0a56a566aeeb693b7cdaf0e0cb7f824cdbc74dfad22bc37d556862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05979",
    "kind": "arxiv",
    "version": 1
  }
}