Pith Number

pith:C6PF2NP2

pith:2017:C6PF2NP2TAOQZYWEYQU5PTFQMK

not attested not anchored not stored refs pending

On the notion of a basis of a finite dimensional vector space

Alexander Gamkrelidze, Grigori Giorgadze

arxiv:1712.04244 v4 · 2017-12-12 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C6PF2NP2TAOQZYWEYQU5PTFQMK}

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	2026-05-18T00:15:41.900754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

179e5d35fa981d0ce2c4c429d7ccb062bef8ebfd284725bd6a7c10b0a9295a9f

Aliases

arxiv: 1712.04244 · arxiv_version: 1712.04244v4 · doi: 10.48550/arxiv.1712.04244 · pith_short_12: C6PF2NP2TAOQ · pith_short_16: C6PF2NP2TAOQZYWE · pith_short_8: C6PF2NP2

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/C6PF2NP2TAOQZYWEYQU5PTFQMK \
  | 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: 179e5d35fa981d0ce2c4c429d7ccb062bef8ebfd284725bd6a7c10b0a9295a9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638bdb53e5e0f6374a6b99905ed8ba83d5ab520adba4d14001f84548a9149ed6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-12-12T11:27:17Z",
    "title_canon_sha256": "743c5fc5fcfc8202da967a2de7cca668e281ebcab34a66283caf6428f87b67d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04244",
    "kind": "arxiv",
    "version": 4
  }
}