Pith Number

pith:JS6R4YER

pith:2011:JS6R4YER6V5MP22GSOL3I6BBRJ

not attested not anchored not stored refs pending

Cross effects and calculus in an unbased setting

Brenda Johnson, Kristine Bauer, Randy McCarthy

arxiv:1101.1025 v3 · 2011-01-05 · 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{JS6R4YER6V5MP22GSOL3I6BBRJ}

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	2026-05-18T02:57:36.252940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cbd1e6091f57ac7eb469397b478218a4fb8e6ab5dcaf8a89a1f4e506041855a

Aliases

arxiv: 1101.1025 · arxiv_version: 1101.1025v3 · doi: 10.48550/arxiv.1101.1025 · pith_short_12: JS6R4YER6V5M · pith_short_16: JS6R4YER6V5MP22G · pith_short_8: JS6R4YER

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/JS6R4YER6V5MP22GSOL3I6BBRJ \
  | 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: 4cbd1e6091f57ac7eb469397b478218a4fb8e6ab5dcaf8a89a1f4e506041855a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b62cd20ea0d53d62959df8bd938df6ca819e9e0dfe77a0a0cfd27ad1786aa960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-01-05T16:56:26Z",
    "title_canon_sha256": "3a4017e95b493b304f29ed5321f974b198633ed3ddca60d5f566f82c49dcd84b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1025",
    "kind": "arxiv",
    "version": 3
  }
}