Pith Number

pith:RKMK3TW3

pith:2013:RKMK3TW3CARWKL5MOHAEW5FUZF

not attested not anchored not stored refs pending

On the functoriality of marked families

Margherita Roggero, Paolo Lella

arxiv:1307.7657 v3 · 2013-07-29 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKMK3TW3CARWKL5MOHAEW5FUZF}

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	2026-05-18T01:19:14.508762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a98adcedb1023652fac71c04b74b4c94f79b204923e95943e86a03dbd54ca41

Aliases

arxiv: 1307.7657 · arxiv_version: 1307.7657v3 · doi: 10.48550/arxiv.1307.7657 · pith_short_12: RKMK3TW3CARW · pith_short_16: RKMK3TW3CARWKL5M · pith_short_8: RKMK3TW3

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/RKMK3TW3CARWKL5MOHAEW5FUZF \
  | 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: 8a98adcedb1023652fac71c04b74b4c94f79b204923e95943e86a03dbd54ca41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca9caed6b9857bb246f9d90ee69e46fd9f05b65dadc6c7046d9ceb8c7628c5dc",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-29T17:35:40Z",
    "title_canon_sha256": "a759902527e8495167f3ccbef4fda25e28ad9569517363ae4a0af6d7f0f02671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7657",
    "kind": "arxiv",
    "version": 3
  }
}