Pith Number

pith:2TVQMGX2

pith:2011:2TVQMGX2STQEOJLYBH255BWLLG

not attested not anchored not stored refs pending

Achievable Sets in Z^n

Krishanu Sankar

arxiv:1103.1357 v1 · 2011-03-07 · math.NT · 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{2TVQMGX2STQEOJLYBH255BWLLG}

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	2026-05-18T04:27:16.590424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4eb061afa94e047257809f5de86cb59972df4a715eb083c5720ed5cfd7da6f4

Aliases

arxiv: 1103.1357 · arxiv_version: 1103.1357v1 · doi: 10.48550/arxiv.1103.1357 · pith_short_12: 2TVQMGX2STQE · pith_short_16: 2TVQMGX2STQEOJLY · pith_short_8: 2TVQMGX2

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/2TVQMGX2STQEOJLYBH255BWLLG \
  | 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: d4eb061afa94e047257809f5de86cb59972df4a715eb083c5720ed5cfd7da6f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e3691f9dd9b784626f3e4ca8233d0c86af857105e48c65c9ee9a96e5580e0e4",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-07T19:54:21Z",
    "title_canon_sha256": "8097b3ce0fc20f26e4d6fe2da604ab0ff36dd5646856073ca9d682cd09cb14b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1357",
    "kind": "arxiv",
    "version": 1
  }
}