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Pith Number

pith:MY6CZ5JF

pith:2018:MY6CZ5JFER6G7YM3N3N7GX4IXS
not attested not anchored not stored refs pending

Progressions of reasoning in K-12 mathematics

Dev P. Sinha

arxiv:1812.11947 v1 · 2018-12-31 · math.HO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MY6CZ5JFER6G7YM3N3N7GX4IXS}

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 2026-05-17T23:57:10.738516Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

663c2cf525247c6fe19b6edbf35f88bc97394fdff21d36bb888ee942c6ccd396

Aliases

arxiv: 1812.11947 · arxiv_version: 1812.11947v1 · doi: 10.48550/arxiv.1812.11947 · pith_short_12: MY6CZ5JFER6G · pith_short_16: MY6CZ5JFER6G7YM3 · pith_short_8: MY6CZ5JF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MY6CZ5JFER6G7YM3N3N7GX4IXS \
  | 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: 663c2cf525247c6fe19b6edbf35f88bc97394fdff21d36bb888ee942c6ccd396
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "84b993563a099e40171edc3802da0601886dd538a69a1963289d8a76f3c1612a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-12-31T18:37:43Z",
    "title_canon_sha256": "8dd988852bca71054b92705f6dbe08d82915285b8872d77c5606e43f2177f4ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11947",
    "kind": "arxiv",
    "version": 1
  }
}