Pith Number

pith:FEGEFQZK

pith:2011:FEGEFQZKYSEX42GHZMEJEY5ZGK

not attested not anchored not stored refs pending

Symmetric tensor rank with a tangent vector: a generic uniqueness theorem

Alessandra Bernardi, Edoardo Ballico

arxiv:1101.5090 v2 · 2011-01-26 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FEGEFQZKYSEX42GHZMEJEY5ZGK}

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	2026-05-18T03:41:20.461216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

290c42c32ac4897e68c7cb089263b9329a3fcd938d4e484d62ee491a1f34ae3c

Aliases

arxiv: 1101.5090 · arxiv_version: 1101.5090v2 · doi: 10.48550/arxiv.1101.5090 · pith_short_12: FEGEFQZKYSEX · pith_short_16: FEGEFQZKYSEX42GH · pith_short_8: FEGEFQZK

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/FEGEFQZKYSEX42GHZMEJEY5ZGK \
  | 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: 290c42c32ac4897e68c7cb089263b9329a3fcd938d4e484d62ee491a1f34ae3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5741d2afc310a9eca4c501aeca531f7678e60e2694298deffdbb55c30881fe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-26T15:48:28Z",
    "title_canon_sha256": "769f22339b198751b4e22453b026758907e0b6726e9d28297a0963ed7b3e3631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5090",
    "kind": "arxiv",
    "version": 2
  }
}