Pith Number

pith:ZEMBQMPL

pith:2010:ZEMBQMPL54UKHR4GAUPXSWNOXD

not attested not anchored not stored refs pending

Dirac optimal reduction

Madeleine Jotz, Tudor S. Ratiu

arxiv:1008.2283 v2 · 2010-08-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEMBQMPL54UKHR4GAUPXSWNOXD}

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	2026-05-18T04:19:22.141469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9181831ebef28a3c786051f7959aeb8e0202244d9e70aa86f565e4660f233e1

Aliases

arxiv: 1008.2283 · arxiv_version: 1008.2283v2 · doi: 10.48550/arxiv.1008.2283 · pith_short_12: ZEMBQMPL54UK · pith_short_16: ZEMBQMPL54UKHR4G · pith_short_8: ZEMBQMPL

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/ZEMBQMPL54UKHR4GAUPXSWNOXD \
  | 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: c9181831ebef28a3c786051f7959aeb8e0202244d9e70aa86f565e4660f233e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6823d43be5dda375e06a1d2256d805e11e0c348498f60af2472286d8879e30c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-13T10:18:28Z",
    "title_canon_sha256": "1beca34280be23957712aca2ae0183527c4f3b3c355dd9f7a02400761d8b033c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2283",
    "kind": "arxiv",
    "version": 2
  }
}