Pith Number

pith:POXM7VHV

pith:2012:POXM7VHV45DQTHPPJCDWDVFLDF

not attested not anchored not stored refs pending

A Wonderful Embedding of the Loop Group

Pablo Solis

arxiv:1208.1590 v4 · 2012-08-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POXM7VHV45DQTHPPJCDWDVFLDF}

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	2026-05-18T02:21:01.422251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7baecfd4f5e747099def488761d4ab197bf2af99b3adc640d5f19039b70b268c

Aliases

arxiv: 1208.1590 · arxiv_version: 1208.1590v4 · doi: 10.48550/arxiv.1208.1590 · pith_short_12: POXM7VHV45DQ · pith_short_16: POXM7VHV45DQTHPP · pith_short_8: POXM7VHV

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/POXM7VHV45DQTHPPJCDWDVFLDF \
  | 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: 7baecfd4f5e747099def488761d4ab197bf2af99b3adc640d5f19039b70b268c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47d2d67d9985c98183c958e4cee3e1d33bea86ac64720fe3d11ee5084cd572d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-08T06:06:45Z",
    "title_canon_sha256": "85747a21767592d1783906d2fced8c0ba13a57b9fa405e5e0e2d6b29ae8c8866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1590",
    "kind": "arxiv",
    "version": 4
  }
}