Pith Number

pith:P6MDYFPG

pith:2016:P6MDYFPGVDJKA2XDZIFUCENGY7

not attested not anchored not stored refs pending

A classical proof that the algebraic homotopy class of a rational function is the residue pairing

Jesse Leo Kass, Kirsten Wickelgren

arxiv:1602.08129 v2 · 2016-02-25 · math.AG · math.AT · 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{P6MDYFPGVDJKA2XDZIFUCENGY7}

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	2026-05-18T00:21:01.442435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f983c15e6a8d2a06ae3ca0b4111a6c7d3b5f7d7c73a3834c10269287d022bd9

Aliases

arxiv: 1602.08129 · arxiv_version: 1602.08129v2 · doi: 10.48550/arxiv.1602.08129 · pith_short_12: P6MDYFPGVDJK · pith_short_16: P6MDYFPGVDJKA2XD · pith_short_8: P6MDYFPG

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/P6MDYFPGVDJKA2XDZIFUCENGY7 \
  | 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: 7f983c15e6a8d2a06ae3ca0b4111a6c7d3b5f7d7c73a3834c10269287d022bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf41ec506c152626eacf53f83ff9437ce2867f8f25b812e2a42d4df28325c9c9",
    "cross_cats_sorted": [
      "math.AT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-25T22:00:49Z",
    "title_canon_sha256": "794b9ce02aae822a5d84bb3d26f9cc3984585328b4f0c752ebc5e332d94e3294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08129",
    "kind": "arxiv",
    "version": 2
  }
}