Pith Number

pith:EV4SAC3K

pith:2022:EV4SAC3K3NKEG2U5GPRJ3MQ2XX

not attested not anchored not stored refs pending

Discrete Microlocal Morse Theory

Adam Brown, Ondrej Draganov

arxiv:2209.14993 v3 · 2022-09-29 · math.GN · cs.CG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EV4SAC3K3NKEG2U5GPRJ3MQ2XX}

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.

Cited by

1 paper in Pith

Computing Projective Implicit Representations from Poset Towers

Receipt and verification

First computed	2026-07-05T11:18:37.867034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2579200b6adb54436a9d33e29db21abdc399d5060b060efb5e6bb4705a9045c5

Aliases

arxiv: 2209.14993 · arxiv_version: 2209.14993v3 · doi: 10.48550/arxiv.2209.14993 · pith_short_12: EV4SAC3K3NKE · pith_short_16: EV4SAC3K3NKEG2U5 · pith_short_8: EV4SAC3K

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/EV4SAC3K3NKEG2U5GPRJ3MQ2XX \
  | 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: 2579200b6adb54436a9d33e29db21abdc399d5060b060efb5e6bb4705a9045c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c98425eed47865f9b528d12cd4f76305e6c6a91926aa18d2ccc3c3edda407ec",
    "cross_cats_sorted": [
      "cs.CG",
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2022-09-29T17:52:48Z",
    "title_canon_sha256": "07f9f30eda9967b4f54d2d9860f1ce5c2436e9c16bb3e91cba627208a8a669ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.14993",
    "kind": "arxiv",
    "version": 3
  }
}