Pith Number

pith:CDNAQCKE

pith:2016:CDNAQCKEGK2RVCPWUGHOK5XPU2

not attested not anchored not stored refs pending

An Euler-Poincar\'e formula for depth zero Bernstein projector

Allen Moy, Dan Barbasch, Dan Ciubotaru

arxiv:1610.01310 v1 · 2016-10-05 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDNAQCKEGK2RVCPWUGHOK5XPU2}

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	2026-05-18T01:03:11.179388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10da08094432b51a89f6a18ee576efa6b0ec414d7f78fedf820f86cdd7016031

Aliases

arxiv: 1610.01310 · arxiv_version: 1610.01310v1 · doi: 10.48550/arxiv.1610.01310 · pith_short_12: CDNAQCKEGK2R · pith_short_16: CDNAQCKEGK2RVCPW · pith_short_8: CDNAQCKE

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/CDNAQCKEGK2RVCPWUGHOK5XPU2 \
  | 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: 10da08094432b51a89f6a18ee576efa6b0ec414d7f78fedf820f86cdd7016031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6737152bae3984eda059e5d203eeac45ade9cc13a3a13041c04087e38a36aca0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-10-05T08:49:48Z",
    "title_canon_sha256": "112ad1c748b57eb2e4ddbba686da75c7eec59f5a7955b010863da14f018dfe08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01310",
    "kind": "arxiv",
    "version": 1
  }
}