Pith Number

pith:PK6DF6KB

pith:2011:PK6DF6KB2GH4JHHRJM2T4BQ5XC

not attested not anchored not stored refs pending

Discrete Time Elastic Vector Spaces

Pierre-Fran\c{c}ois Marteau (VALORIA)

arxiv:1101.4318 v2 · 2011-01-22 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PK6DF6KB2GH4JHHRJM2T4BQ5XC}

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	2026-05-18T04:28:47.522495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7abc32f941d18fc49cf14b353e061db8a3a327652879fa97a2ac662f07edeb89

Aliases

arxiv: 1101.4318 · arxiv_version: 1101.4318v2 · doi: 10.48550/arxiv.1101.4318 · pith_short_12: PK6DF6KB2GH4 · pith_short_16: PK6DF6KB2GH4JHHR · pith_short_8: PK6DF6KB

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/PK6DF6KB2GH4JHHRJM2T4BQ5XC \
  | 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: 7abc32f941d18fc49cf14b353e061db8a3a327652879fa97a2ac662f07edeb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b014886f9d0d4acfc3aacfaac10de8fafe47cc4fb9d4217b1e169751a1fb44b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-01-22T20:04:51Z",
    "title_canon_sha256": "2517b40bd77a914d7eed8a8c72d392c0f5cec86b379a78b6f2e180bd1661de13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4318",
    "kind": "arxiv",
    "version": 2
  }
}