Pith Number

pith:YL3Y4PAK

pith:2020:YL3Y4PAKJD6G42YJX5M536MWBM

not attested not anchored not stored refs pending

Associative Submanifolds of the Berger Space

Gavin Ball, Jesse Madnick

arxiv:2003.13169 v1 · 2020-03-30 · 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{YL3Y4PAKJD6G42YJX5M536MWBM}

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	2026-07-05T00:51:13.040173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f78e3c0a48fc6e6b09bf59ddf9960b354bdc3960af270b3bf12a7d3d1673d6

Aliases

arxiv: 2003.13169 · arxiv_version: 2003.13169v1 · doi: 10.48550/arxiv.2003.13169 · pith_short_12: YL3Y4PAKJD6G · pith_short_16: YL3Y4PAKJD6G42YJ · pith_short_8: YL3Y4PAK

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/YL3Y4PAKJD6G42YJX5M536MWBM \
  | 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: c2f78e3c0a48fc6e6b09bf59ddf9960b354bdc3960af270b3bf12a7d3d1673d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e7a2361eff4429f649399f6355fa43797f266e2c310168f19426fb911e4894f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-03-30T00:29:01Z",
    "title_canon_sha256": "7aa2d65eab0825cfcc45d9712eb6a755bcfcb11743b556d4c98ba45478c129f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.13169",
    "kind": "arxiv",
    "version": 1
  }
}