Pith Number

pith:PIAWYML5

pith:2016:PIAWYML5IAKRQAVRY3MNICNQW3

not attested not anchored not stored refs pending

On D-modules related to the b-function and Hamiltonian flow

Thomas Bitoun, Travis Schedler

arxiv:1606.07761 v3 · 2016-06-24 · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIAWYML5IAKRQAVRY3MNICNQW3}

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	2026-05-18T00:01:32.855359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a016c317d40151802b1c6d8d409b0b6ea3a18d3835a06b17a8e5f016b9cf287

Aliases

arxiv: 1606.07761 · arxiv_version: 1606.07761v3 · doi: 10.48550/arxiv.1606.07761 · pith_short_12: PIAWYML5IAKR · pith_short_16: PIAWYML5IAKRQAVR · pith_short_8: PIAWYML5

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/PIAWYML5IAKRQAVRY3MNICNQW3 \
  | 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: 7a016c317d40151802b1c6d8d409b0b6ea3a18d3835a06b17a8e5f016b9cf287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7a71286a985a2707fae8724057d784c0e74b6eff4065d71e2b74dda667b9df",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-24T16:45:39Z",
    "title_canon_sha256": "3f3a0191b98250db8a3cdc88af424b656230bc08cd1a5c6c5c25c3d5dbb20f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07761",
    "kind": "arxiv",
    "version": 3
  }
}