Pith Number

pith:YPYTGDTB

pith:2018:YPYTGDTBRUB4AAXK343YJNPDE7

not attested not anchored not stored refs pending

The Grassmannian complex and Goncharov's motivic complex in weight 4

Herbert Gangl

arxiv:1801.07816 v2 · 2018-01-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPYTGDTBRUB4AAXK343YJNPDE7}

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	2026-05-18T00:20:15.996199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3f1330e618d03c002eadf3784b5e327c50ae3ca9a4a409fc800d8c77c6fa29f

Aliases

arxiv: 1801.07816 · arxiv_version: 1801.07816v2 · doi: 10.48550/arxiv.1801.07816 · pith_short_12: YPYTGDTBRUB4 · pith_short_16: YPYTGDTBRUB4AAXK · pith_short_8: YPYTGDTB

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/YPYTGDTBRUB4AAXK343YJNPDE7 \
  | 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: c3f1330e618d03c002eadf3784b5e327c50ae3ca9a4a409fc800d8c77c6fa29f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c52ed117c54a84e74b521393e6861db8e432c0b529e472c6c60acf2c567103c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-24T00:11:49Z",
    "title_canon_sha256": "b05e646dc1f465317714af023ed94a107b8de0713693478c9f9f4c764729ad72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07816",
    "kind": "arxiv",
    "version": 2
  }
}