Pith Number

pith:J6INMPIO

pith:2013:J6INMPIOE542PGEJQNWQ2BVQXE

not attested not anchored not stored refs pending

Magnetic Dirac-harmonic maps

Volker Branding

arxiv:1307.3133 v1 · 2013-07-11 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6INMPIOE542PGEJQNWQ2BVQXE}

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	2026-05-18T01:30:15.739006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f90d63d0e2779a79889836d0d06b0b913db82ba18d6b415e882551f40432029

Aliases

arxiv: 1307.3133 · arxiv_version: 1307.3133v1 · doi: 10.48550/arxiv.1307.3133 · pith_short_12: J6INMPIOE542 · pith_short_16: J6INMPIOE542PGEJ · pith_short_8: J6INMPIO

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/J6INMPIOE542PGEJQNWQ2BVQXE \
  | 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: 4f90d63d0e2779a79889836d0d06b0b913db82ba18d6b415e882551f40432029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c77da7a3c57657eca04174ce0ebb48190ed77e7efa082b056c36b39d6c63e4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-11T14:59:03Z",
    "title_canon_sha256": "e569e63b9c2205af7a0a7c0065a4963a51779962541a72bb2160e2bac757a957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3133",
    "kind": "arxiv",
    "version": 1
  }
}